I'm studying Fourier Series right now so I'm pretty new to most the concepts that come with it. I've practiced finding a function's Fourier Series so I think I can do that pretty well now but I'm still quite lost when it comes to proving convergence of a Fourier Series and especially questions that ask me to find the point where a Fourier Series converges.
I've looked online and in my notes but I just can't really understand it. What I've gathered so far is that for a Fourier series to be convergent we need to check for Piecewise Continuity? But again, I'm not quite sure what this means and how I can apply this.
This is more of a general question so I'm not sure if it's suitable to post here but I thought it was worth a shot since everywhere else doesn't really help much.
Any help would be much appreciated